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The algebraic formula for calculating the future value of annuity (FVA N ) of an ordinary annuity for<br />

our example is:<br />

The values in Exhibit 4.11 reflect these calculations.<br />

Exhibit 4.11 Future value of an ordinary annuity.<br />

Note that interest is compounded.<br />

(Formula 4c Simplified)<br />

Working with the simplified formula provides us the following:<br />

To understand the values presented in Exhibit 4.11, we see that the initial payment of $500 has a FV<br />

of $919. To verify this, we can use the formula for FV:<br />

(Formula 4a)<br />

Substituting into the equation, we have the following:

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